Book chapter

[OS1] M. Lhommeau, L. Hardouin, B. Cottenceau. Optimal Control for (max,+)-linear Systems in the Presence of Disturbances. ISBN 978-3-540-40342-5, pages 758-760, DOI:10.1007/b79667 , LNCIS 294 , SPRINGER, (2003)

Peer-reviewed journal publications

[IJ-15] B. Daviaud, S. Lahaye, M. Lhommeau, J. Komenda, “On the Existence of Simulations for Max-Plus Automata,” in IEEE Control Systems Letters, vol. 8, pp. 694-699, 2024, doi: 10.1109/LCSYS.2024.3401415 .

[IJ-14] Guilherme Winck, L. Hardouin, M. Lhommeau, R. Santos-Mendes, Stochastic Filtering Scheme of Implicit Forms of Uncertain Max-Plus Linear Systems, IEEE Transactions on Automatic Control, vol 67, no. 8, pp. 4370-4376, Aug. 2022,DOI:10.1109/TAC.2022.3176841 .

[IJ-13] Renato Markele Ferreira  Cândido, Laurent Hardouin, Mehdi Lhommeau, Rafael Santos-Mendes. An Algorithm to Compute the Inverse Image of a Point with Respect to a Nondeterministic Max PlusLinear System. IEEE Transactions on Automatic Control, 2020, Volume: 66, Issue: 4, doi:10.1109/TAC.2020.2998726 , April 2021

[IJ-12] R. S. Mendes, L. Hardouin and M. Lhommeau, Stochastic Filtering of Max-Plus Linear Systems With Bounded Disturbances, in IEEE Transactions on Automatic Control, vol. 64, no. 9, pp. 3706-3715, Sept. 2019

[IJ-11] Nicolas Delanoue, Mehdi Lhommeau, and Sébastien Lagrange, Nonlinear optimal control : A numerical scheme based on occupation measures and interval analysis. Computational Optimization and Applications, Springer Verlag, volume 77, pages 307-334, 2020

[IJ-10] R. Santos-Mendes, L. Hardouin and M. Lhommeau. Stochastic Filtering of Max-plus Linear Systems with Bounded Disturbances, IEEE Transactions on Automatic Control, Volume 64(9), 2019

[IJ-9] R.-M. Ferreira Cândido, L. Hardouin, M. Lhommeau and R. Santos Mendes. Conditional Reachability Of UncertainMax Plus Linear Systems, Automatica. 2018

[IJ-8] Y. Shang Ying, L. Hardouin, M. Lhommeau, C.-A. Maia, An integrated control strategy to solve the disturbance decoupling problem for max-plus linear systems with applications to a high throughput screening system, Automatica, 2016. n°63 p. 338-348

[IJ-7] N. Delanoue, M. Lhommeau, P. Lucidarme, Numerical enclosures of the optimal cost of the Kantorovitch’s mass transportation problem, Computational Optimization and Applications. 2015. p. 1-19

[IJ-6] M. Lhommeau, L. Jaulin, L. Hardouin, Capture Basin Approximation Using Interval Analysis, International Journal of Adaptive Control and Signal Processing, (2011).

[IJ-5] L. Hardouin, C. A. Maia, B. Cottenceau, M. Lhommeau, Observer Design for (max,+) Linear Systems. IEEE Transaction on Automatic Control, 55-2, 538-543, (2010).

[IJ-4] L. Hardouin, B. Cottenceau, M. Lhommeau, E. Le Corronc, Interval systems over idempotent semirings. Linear Algebra and its Applications, vol. 431, Issues 5-7, 855-862, (2009).

[IJ-3] N. Delanoue, L. Jaulin, L. Hardouin, M. Lhommeau, Guaranteed Characterization of Capture Basins of Nonlinear State-Space Systems, Lecture Notes in Electrical Engineering, Springer, ISBN 978-3-540-85639-9, [DOI:10.1007/978-3-540-85640-5]((https://www.doi.org/10.1007/978-3-540-85640-5) , vol. 24, 265-272, (2008).

[IJ-2] M. Lhommeau, L. Hardouin, B. Cottenceau, L. Jaulin, Interval analysis in diod : Application to robust controller design for Timed Event Graphs, AUTOMATICA, vol 40.1923-1930, (2004).

[IJ-1] B. Cottenceau, M. Lhommeau, L. Hardouin, J.-L. Boimond, On Timed Event Graph Stabilization by Output Feedback in Dioid. Kybernetika, vol. 39, n°2, 165-176, (2003).

International conferences

[CI-27] Guilherme Espindola-Winck, Laurent Hardouin, Mehdi Lhommeau. Comparing Disjunctive and Concise Approaches for Set-Guaranteed Estimation in Max-Plus Linear Systems. 17th IFAC Workshop on Discrete Event Systems (WODES), May 2024, Rio, Brazil.

[CI-26] Paul Courtin, Jean-Baptiste Fasquel, Mehdi Lhommeau, Axel Gimault. A Deep Learning Approach to Address the Storage Location Assignment Problem. 16th International Conference on Agents and Artificial Intelligence (ICART), Rome, Italy, 2024.

[CI-25] Bérangère Daviaud, Sébastien Lahaye, Mehdi Lhommeau, Jan Komenda. Representation of Time Petri Nets using Interval Weighted Automata, 9th International Conference on Control, Decision and Information Technologies (CoDIT), 3 au 6 juillet 2023.

[CI-24] Guilherme Espindola-Winck, Laurent Hardouin, Mehdi Lhommeau, Rafael Santos-Mendes. Criteria stochastic filtering of max-plus discrete event systems with bounded random variables. 1st IFAC Workshop on Control of Complex Systems (COSY), IFAC, Nov 2022, Bologne, Italy. pp.13-18, ⟨10.1016/j.ifacol.2023.01.041⟩. ⟨hal-03994143⟩

[CI-23] Guilherme Espindola-Winck, Renato Markele Ferreira Cândido, Laurent Hardouin, Mehdi Lhommeau. Efficient State-Estimation of Uncertain Max-Plus Linear Systems with High Observation Noise. 16th IFAC Workshop on Discrete Event Systems (WODES) 2022, Sep 2022, Prague (CZ), Czech Republic. pp.228-235, ⟨10.1016/j.ifacol.2022.10.347⟩. ⟨hal-03840153⟩

[CI-22] Guilherme Espindola-Winck, Laurent Hardouin, Mehdi Lhommeau. Max-plus polyhedra-based state characterization for uMPL systems. 2022 European Control Conference (ECC), Jul 2022, London, United Kingdom. pp.1037-1042, ⟨10.23919/ECC55457.2022.9838188⟩. ⟨hal-03782814⟩

[CI-21] A. Oke, L. Hardouin, M. Lhommeau and Y. Shang, Observer-Based Controller for Disturbance Decoupling of Max-plus Linear Systems with Applications to a High Throughput Screening System in Drug Discovery ,CDC'2017, Melbourne - Australia. 2017

[CI-20] R.-M. Ferreira Cândido, M. Lhommeau, L. Hardouin and R. Santos Mendes, MinMaxGDJS : A WEB Toolbox to handle pseudo-periodic series in MinMax[[gamma,delta]] , IFAC'2017, Toulouse. 2017

[CI-19] A. Jamin, J.-B. Fasquel, M. Lhommeau, E. Cornet, S. Abadie-Lacourtoisie, S. Henni, G. Leftheriotis, An Aggregation Plateform for IoT-Based Healthcare : Illustration for Bioimpedancemetry, Temperature and Fatigue Level Monitoring, Third International Conference, HealtyIoT 2016, Västera, Sweden, October 18-19, 2016.

[CI-18] Y. Shang, L. Hardouin, M. Lhommeau, C.-A. Maia, Robust Controllers in Disturbance Decoupling of Uncertain Max-Plus Linear Systems: An Application to a High Throughput Screening System for Drug Discovery ,WODES 2016, Workshop on Discrete Event Systems, 2016.

[CI-17] Y. Shang, L. Hardouin, M. Lhommeau, C.-A. Maia, An Integrated Control Strategy in Disturbance Decoupling of Max-Plus Linear Systems with Applications to a High Throughput Screening System in Drug Discovery, 53rd IEEE Conference on Decision and Control. 2014, Los Angeles. IEEE, p. 6.

[CI-16] Y. Shang, L. Hardouin, M. Lhommeau, C.A. Maia, Open Loop Controllers to Solve the Disturbance Decoupling Problem for Max-Plus Linear Systems , European Control Conference, ECC 2013, Zurich.

[CI-15] R. Guyonneau, S. Lagrange, L. Hardouin, M. Lhommeau, Set-Membership Method for Discrete Optimal Control , 10th International Conference on Informatics in Control, Automation and Robotics, ICINCO,2013

[CI-14] M. Lhommeau, L. Jaulin and L. Hardouin, A non-linear set-membership approach for the control of Discrete Event Systems, Workshop on Discrete Event Systems (WODES), October 3-5 Guadalajara, Mexico, 2012

[CI-13] L. Hardouin, M. Lhommeau, Y. Shang, Towards Geometric Control of Max-Plus Linear Systems with Applications to Manufacturing Systems. Conference on Decision and Control, European Conference on Control, CDC-ECC, Orlando. USA, (2011).

[CI-12] A. Bouillard, B. Cottenceau, B. Gaujal, L. Hardouin, S. Lagrange, M. Lhommeau, COINC Library: a toolbox for the Network Calculus.4th International Conference on Performance Evaluation Methodologies and Tools (ValueTools 2009). Pisa, Italie, (2009).

[CI-11] L. Hardouin, C.A. Maia, B. Cottenceau , M. Lhommeau, Observer Design for (max,+) linear systems. DCDS'07, June 13-15, Paris. Cachan, France, (2007).

[CI-10] M. Lhommeau, L. Jaulin, L. Hardouin, Inner and outer approximation of capture basins using interval analysis. 4th International Conference on Informatics in Control, Automation and Robotics (ICINCO). Angers, France, (2007).

[CI-9] M. Lhommeau, L. Hardouin, J.-L. Ferrier, I. Ouerghi, Interval Analysis in Dioid : Application to Robust Open-Loop Control for Timed Event Graphs. 44th IEEE Conference on Decision and Control and European Control Conference ECC 2005 (CDC-ECC'05). Sevilla, Spain, (2005).

[CI-8] M. Lhommeau, L. Hardouin, C.A. Maia, R. Santos-Mendes, Control and Robustness Analysis for (max,+)-linear systems.WODES'2004, Workshop On Discrete Event Systems. Reims, France. (2004).

[CI-7] M. Lhommeau, L. Hardouin, B. Cottenceau, L. Jaulin, Robust Controller Design for Timed Event Graphs in Dioid. Emerging Technologies and Factory Automation, ETFA'2003. Lisbonne Portugal. (2003).

[CI-6] M. Lhommeau, L. Hardouin, B. Cottenceau, Optimal Control for (max,+)-linear Systems in the Presence of Disturbances. Proceedings of the first International Symposium on Positive Systems: Theory and Applications, POSTA 2003. Rome, Italie, (2003).

[CI-5] C.A. Maia, L. Hardouin, R. Santos-Mendes, M. Lhommeau, Optimal Closed-loop Control of Timed Event Graphs in dioids. International Workshop on (Max,+)-Algebra. Birmingham, Grande-Bretagne, (2003).

[CI-4] M. Lhommeau, L. Hardouin, B. Cottenceau, C.A. Maia, Robustness Analysis of Control laws for (max,+)-linear Systems. International Workshop on Max,+ Algebra. Birmingham. Grande-Bretagne, (2003).

[CI-3] M. Lhommeau, C.A. Maia, L. Hardouin, B. Cottenceau, Commandes de graphes d’événements temporisés : synthèse et robustesse de correcteurs. Journées Nationales d’Automatique, JNA Valenciennes, France, (2003).

[CI-2] M. Lhommeau, L. Hardouin, B. Cottenceau, Disturbance Decoupling of Timed Event Graphs by Output Feedback Controller. WODES'2002, Workshop on Discrete Event Systems. Zaragoza, Espagne, (2002).

[CI-1] M. Lhommeau, L. Hardouin, B. Cottenceau, J.-L. Boimond, Data processing tool for calculation in dioid. WODES'2000, Workshop on Discrete Event Systems. Ghent, Belgique. (2000).

National Conferences

[CN-12] Bérangère Daviaud, Sébastien Lahaye, Mehdi Lhommeau, Mathieu Déballe. Livecoding, Atelier Participiatif et collaboratif. Open Open, ESAC Cambrai mai 2023.

[CN-11] Bérangère Daviaud, Sébastien Lahaye, Mehdi Lhommeau, Mathieu Déballe. Librairie d’interface réactif pour le live Coding. Les 6èmes journées des Démonstrateurs en Automatique, Angers, juin 2022.

[CN-10] Guilherme Espindola-Winck, Laurent Hardouin, Mehdi Lhommeau. Sur l’estimation d’état des systèmes max-plus. Modélisation des Systèmes Réactifs (MSR'21), Nov 2021, Paris, France.

[CN-9] Bérangère Daviaud, Sébastien Lahaye, Mehdi Lhommeau, Mathieu Delalle. LiveCode+. Modélisation des Systèmes Réactifs (MSR'21), Nov 2021, Paris, France. ⟨hal-04011413⟩

[CN-8] P. Courtin, A. Grimault, M. Lhommeau et J.-B. Fasquel, Problème d’affectation dynamique des emplacements de stockage chez Knapp : vers de l’apprentissage automatique ?, Rencontres Jeunes Chercheurs en Intelligence Artificielle, RJCIA, Angers, 2020

[CN-7] G. Espindola Winck, M. Lhommeau et L. Hardouin, Analyse d’atteignabilité des systèmes (max,+)-linéaires à l’aide des polyèdres tropicaux, MSR 2019, Angers, 2019

[CN-6] M. Lhommeau, L. Hardouin and B. Cottenceau, MinMaxGDJS : Calcul dans le semi-anneau MinMax[[gamma,delta]], MSR'2017, Marseille. 2017

[CN-5] M. Lhommeau, L. Hardouin, R. Santos-Mendes, Sur la stabilisation de systèmes min-max-plus. MSR'2013, Modélisation des Systèmes Réactifs. Rennes, France, (2013).

[CN-4] M. Lhommeau, L. Hardouin, C.-A. Maia, R. Santos-Mendes, Commande et analyse de robustesse de systèmes (max,+)-linéaires. e-STA Revue en ligne Sciences et Technologies de l’Automatique. (2004).

[CN-3] M. Lhommeau, L. Hardouin, S. Lagrange, B. Cottenceau, Problème du rejet de perturbations dans les dioïdes. Synthèses de correcteurs préservant l’état. CIFA'2002, Conférence Internationale Française d’Automatique. Nantes, France, (2002).

[CN-2] M. Lhommeau, L. Hardouin, B. Cottenceau, Sur l’analyse de la robustesse de correcteurs linéaires dans les dioïdes. MSR'2001, Modélisation des Systèmes Réactifs. Toulouse, France, (2001).

[CN-1] M. Lhommeau, L. Hardouin, B. Cottenceau, A propos de la commande optimale de systèmes à événements discrets décrits dans les dioïdes. JDA'2001, Journées Doctorales d’Automatique. Toulouse, France, (2001).

Doctoral thesis